Question

For $f(x) = \frac{8}{x-3}$ and $g(x) = \frac{9}{x}$, find the following composite functions and state the domain of each. (a) $f \circ g$ (b) $g \circ f$ (c) $f \circ f$ (d) $g \circ g$ (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of $g \circ f$ is all real numbers. (c) $(f \circ f)(x) = \boxed{}$ (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $f \circ f$ is $\boxed{}$ $\boxed{}$ . (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of $f \circ f$ is all real numbers. (d) $(g \circ g)(x) = \boxed{}$ (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $g \circ g$ is $\boxed{}$ $\boxed{}$ . (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of $g \circ g$ is all real numbers.

          For $f(x) = \frac{8}{x-3}$ and $g(x) = \frac{9}{x}$, find the following composite functions and state the domain of each.
(a) $f \circ g$
(b) $g \circ f$
(c) $f \circ f$
(d) $g \circ g$
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of $g \circ f$ is all real numbers.
(c) $(f \circ f)(x) = \boxed{}$ (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of $f \circ f$ is $\boxed{}$ $\boxed{}$ .
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of $f \circ f$ is all real numbers.
(d) $(g \circ g)(x) = \boxed{}$ (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of $g \circ g$ is $\boxed{}$ $\boxed{}$ .
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of $g \circ g$ is all real numbers.

$For f(x) = (8)/(x-3) and g(x) = (9)/(x), find the following composite functions and state the domain of each. (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of g ∘ f is all real numbers. (c) (f ∘ f)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of f ∘ f is . (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of f ∘ f is all real numbers. (d) (g ∘ g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g ∘ g is . (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of g ∘ g is all real numbers.$

Added by Alfonso C.

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